Search a number
-
+
10223320320 = 28325887441
BaseRepresentation
bin10011000010101101…
…10111110100000000
3222101110222111000100
421201112313310000
5131414132222240
64410241122400
7511225534413
oct114126676400
928343874010
1010223320320
114376885964
121b93929400
13c6c04b285
146cda95b7a
153ec7c1e30
hex2615b7d00

10223320320 has 108 divisors (see below), whose sum is σ = 35371663236. Its totient is φ = 2726215680.

The previous prime is 10223320307. The next prime is 10223320321. The reversal of 10223320320 is 2302332201.

It is a happy number.

10223320320 is a `hidden beast` number, since 1 + 0 + 2 + 23 + 320 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5485476096 + 4737844224 = 74064^2 + 68832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10223320293 and 10223320302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223320321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432201 + ... + 455240.

Almost surely, 210223320320 is an apocalyptic number.

10223320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223320320 is an abundant number, since it is smaller than the sum of its proper divisors (25148342916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10223320320 is an equidigital number, since it uses as much as digits as its factorization.

10223320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887468 (or 887451 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10223320320 its reverse (2302332201), we get a palindrome (12525652521).

The spelling of 10223320320 in words is "ten billion, two hundred twenty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 887441 1774882 2662323 3549764 4437205 5324646 7099528 7986969 8874410 10649292 13311615 14199056 15973938 17748820 21298584 26623230 28398112 31947876 35497640 39934845 42597168 53246460 56796224 63895752 70995280 79869690 85194336 106492920 113592448 127791504 141990560 159739380 170388672 212985840 227184896 255583008 283981120 319478760 340777344 425971680 511166016 567962240 638957520 681554688 851943360 1022332032 1135924480 1277915040 1703886720 2044664064 2555830080 3407773440 5111660160 10223320320